The circumference subtends an angle________________?
Correct answer: B. 2π radian
- A. π radian
- B. 2π radian
- C. π/2 radian
- D. 4π radian
Explanation
One complete turn covers the full circumference and corresponds to an angular displacement of 2π radians. This follows from the radian definition, where angle equals arc length divided by radius, so 2πr/r = 2π rad. The likely mistake is choosing π rad, which represents only half a revolution.
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About Angular Displacement
Angular displacement measures the change in a body’s angular position and is expressed in radians or degrees, with anticlockwise and clockwise directions assigned signs. It connects to arc length, angular velocity and angular acceleration, and must be distinguished from ordinary linear displacement in rotational motion.
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